For discrete distribution, the co-efficient of kurtosis β₂ is –

2021

For discrete distribution, the co-efficient of kurtosis β₂ is –

  1. A.

    Greater than 1

  2. B.

    Less than 1

  3. C.

    Equal to 1

  4. D.

    Less than or equal to 1

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Correct answer: A

The coefficient of kurtosis β₂ is defined as the ratio of the fourth central moment to the square of the variance. A key theoretical property for any probability distribution is that β₂ ≥ 1. Although equality can occur in specific cases, the general behavior for discrete distributions aligns with values greater than 1. Consequently, this option correctly identifies the lower bound constraint of kurtosis.

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